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The contrapositive of the statement

If it is raining, then I will not come, is :

  • Option 1)

     If I will come, then it is not raining.

  • Option 2)

    If I will not come, then it is raining.

  • Option 3)

     If I will not come, then it is not raining.

  • Option 4)

     If I will come, then it is raining.

 

Answers (1)

As learnt in

Implications -

Symbol of If p then q is p \rightarrowq or p \Rightarrowq

-

 

 

 Contraposite of p\rightarrow q \:\:\:\: is \sim q \rightarrow \:\:\:\:\sim p

 

If I will not come, then it is not raining.


Option 1)

 If I will come, then it is not raining.

Correct

Option 2)

If I will not come, then it is raining.

Incorrect

Option 3)

 If I will not come, then it is not raining.

Incorrect

Option 4)

 If I will come, then it is raining.

Incorrect

Posted by

Sabhrant Ambastha

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